p-Quasihyponormal operators have scalar extensions of order 6 |
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Authors: | Eungil Ko |
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Affiliation: | Department of Mathematics, Ewha Women's University, Seoul 120-750, Republic of Korea |
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Abstract: | In this paper we show that every p-quasihyponormal operator has a scalar extension of order 6, i.e., is similar to the restriction to a closed invariant subspace of a scalar operator of order 6, where 0<p<1. As a corollary, we get that every p-quasihyponormal operator with rich spectra has a nontrivial invariant subspace. Also we show that Aluthge transforms preserve an analogue of the single-valued extension property for W2(D,H) and an operator T. |
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Keywords: | p-Quasihyponormal Scalar and subscalar operators Invariant subspaces |
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